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10222100201000 = 235331729322169
BaseRepresentation
bin1001010011000000010010…
…1001101011111000101000
31100012020000201221110201202
42110300010221223320220
52314434330122413000
633423545031103332
72103344113040222
oct224600451537050
940166021843652
1010222100201000
11329119408a346
121191140811b48
13591c2acb07bc
14274a763d5412
1512ad786d9dd5
hex94c04a6be28

10222100201000 has 64 divisors (see below), whose sum is σ = 23920542594000. Its totient is φ = 4088698521600.

The previous prime is 10222100200997. The next prime is 10222100201029. The reversal of 10222100201000 is 10200122201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1597529156356 + 8624571044644 = 1263934^2 + 2936762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31567916 + ... + 31890084.

Almost surely, 210222100201000 is an apocalyptic number.

10222100201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222100201000 is an abundant number, since it is smaller than the sum of its proper divisors (13698442393000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222100201000 is a wasteful number, since it uses less digits than its factorization.

10222100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353919 (or 353905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222100201000 its reverse (10200122201), we get a palindrome (10232300323201).

The spelling of 10222100201000 in words is "ten trillion, two hundred twenty-two billion, one hundred million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 31729 63458 126916 158645 253832 317290 322169 634580 644338 793225 1269160 1288676 1586450 1610845 2577352 3172900 3221690 3966125 6345800 6443380 7932250 8054225 12886760 15864500 16108450 31729000 32216900 40271125 64433800 80542250 161084500 322169000 10222100201 20444200402 40888400804 51110501005 81776801608 102221002010 204442004020 255552505025 408884008040 511105010050 1022210020100 1277762525125 2044420040200 2555525050250 5111050100500 10222100201000